Well to start welcome..
So you want to bring the old girl back to life? Well to start, yes to the oil change idea..then pull your tank and flush out the old and stinky that's in there. Then the carb best come apart and get a good cleaning..otherwise you may get it running. But you'll never get it running well until the old gum and dirt is cleaned out.
Definitely a fresh plug to go along with.
Lastly the tire..well I for one am ABLE to replace a tire on a split rim. But would prefer to send it to a tire shop..unless you have the right tools you could be in for a pain in the ass.
Whatever tire you choose just remember one thing..from one guy who was a teenager 30 years ago to another. Most modern tires are much heavier construction and don't have that balloon soft ride.
There are two things providing suspension on that trike..the tire and your spine. The heavier the tire, the more your spine will have to make up the difference.
Load up some pics..!!
Current toys..
1986 Honda 350X..trail bomb!
1985 Honda 250SX..my main mudder
1985 Honda 250ES..Back in Black Trike
Current non-trike toys:
1990 Honda TRX300FW
1995 Seadoo GTX
1998 Polaris Indy Lite 340(Nearly new looking)
1998 Polaris Touring 500
1998 Club Car (electric)